The Computationally Efficient Transfer Processing and Auditing Apparatuses, Methods and Systems (“CETPA”) transforms transaction record inputs via CETPA components into matrix and list tuple outputs for computationally efficient auditing. A blockchain transaction data auditing apparatus comprises a blockchain recordation component, a matrix Conversion component, and a bloom filter component. The blockchain recordation component receives a plurality of transaction records for each of a plurality of transactions, each transaction record comprising a source address, a destination address, a transaction amount and a timestamp of a transaction; the source address comprising a source wallet address corresponding to a source digital wallet, and the destination address comprising a destination wallet address corresponding to a destination virtual currency wallet; verifies that the transaction amount is available in the source virtual currency wallet; and when the transaction amount is available, cryptographically records the transaction in a blockchain comprising a plurality of hashes of transaction records. The Bloom Filter component receives the source address and the destination address, hashes the source address using a Bloom Filter to generate a source wallet address, and hashes the destination address using the Bloom Filter to generate a destination wallet address. The Matrix Conversion component adds the source wallet address as a first row and a column entry to a stored distance matrix representing the plurality of transactions, adds the destination wallet address as a second row and column entry to the stored distance matrix representing the plurality of transactions, adds the transaction amount and the timestamp as an entry to the row corresponding to the source wallet address and the column corresponding to the destination wallet address; and generate a list representation of the matrix, where each entry in the list comprises a tuple having the source wallet address, the destination wallet address, the transaction amount and the timestamp.